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Finding the Fourth Proportional to 138,653.56, 207,980.34 and 45,159.31

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Solution

The fourth proportional to 138,653.56, 207,980.34 and 45,159.31 is: 67,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,653.56 : 207,980.34 = 45,159.31 : x
  2. Step 2: Convert to fraction form
    138,653.56/207,980.34 = 45,159.31/x
  3. Step 3: Cross multiply
    138,653.56x = 207,980.34 × 45,159.31
  4. Step 4: Simplify right side
    138,653.56x = 9,392,247,822.73
  5. Step 5: Solve for x
    x = 9,392,247,822.73/138,653.56
  6. Step 6: Final answer
    x = 67,738.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.